Answer:
6 7/8 inches
Step-by-step explanation:
The first thing to do is to get the measurements in either inches or feet. You can't have both. Let's go from feet to inches.
3 feet = 36 inches
13.75 feet = 165 inches
Now we can set up a proportion to solve for the number of inches the model is:
Now we can cross multiply:
36x = 247.5 so
x = 6.875 or 6 7/8 inches
Answer:
9
Step-by-step explanation:
<span>The triangles are similar because they both have the same same angles.
Why? Because the two triangles are both right triangles and they both have another angle that is the same (as indicated by the circle fragment on the picture). That means that the last angle will be the same. Triangles are similar when they have the same angles but don't have to have the same lengths.
If the triangles are similar, the side lengths are in ratios. You are given the length of the side that corresponds with the third angle, which are 4 and 15. So the ratio of the lengths of the small to large triangle is 4:15. You are given another length (Height of Annie's eyes), which is 5. This can help you find the height of the house.
Let x=height of the house.
So 4/15 = 5/x
4x=5*15=75
x=75/4
x=18.75 ft
Hope this helps!</span><span>
</span>
Answer:
its either 10% off or 25% off
Step-by-step explanation: sorry if this wasnt helpfull
Answer:
£17 and $9
Step-by-step explanation:
let adults be represented by a and children by c, then
2a + 3c = 61 → (1)
3a + 5c = 96 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding will eliminate a
6a + 9c = 183 → (3)
- 6a - 10c = - 192 → (4)
Add (3 ) and (4) term by term
(6a - 6a) + (9c - 10c) = (183 - 192), that is
- c = - 9 ( multiply both sides by - 1 )
c = 9
Substitute c = 9 in either of the 2 equations for value of a
Substituting c = 9 in (1)
2a + 3(9) = 61
2a + 27 = 61 ( subtract 27 from both sides )
2a = 34 ( divide both sides by 2 )
a = 17
The cost of an adult ticket = £17 and a child's ticket = £9
